Hmm. I'm kind of ignorant about this stuff, and I don't really know what Type1 means. I thought it was a TrueType font.
In a roundabout way, I think you've solved my problem. I went to check and see if it's listed some other way (besides TTF) in my Windows font directory, and discovered it says it's a TTF, but it also says, "Font embeddability: Restricted license; Print and preview" -- but some of the variants I looked at were listed differently. It seems that the original free files I downloaded to check out the font are completely different files from the paid ones I later bought, but I didn't realize that, so some of the original files hadn't been replaced. I uninstalled them all, re-downloaded (newer ones are OTF, apparently) and re-installed, and it looks like it's working now.
Interestingly, the font information in the document properties is exactly the same as it was before -- but the text displays properly, so that's good enough for me!
Thank you!